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Waves in Random and Complex Media Volume 32, 2022 - Issue 2
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Original Articles

The weakly nonlinear wave propagation of the generalized third-order nonlinear Schrödinger equation and its applications

Aly R. Seadawya Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-7412-4773View further author information
ORCID Icon,
Muhammad Arshadb Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu212013, People's Republic of ChinaView further author information
&
Dianchen Lub Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu212013, People's Republic of ChinaView further author information
Pages 819-831 | Received 20 Feb 2020, Accepted 21 Jul 2020, Published online: 05 Aug 2020

Citations (27)

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Mahmoud Gaballah & Rehab M. El-Shiekh. (2023) Similarity reduction and multiple novel travelling and solitary wave solutions for the two-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients. Journal of Taibah University for Science 17:1.
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Articles from other publishers (26)

Yeşim Sağlam Özkan & Esra Ünal Yılmaz. (2022) Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative. Mathematical Sciences 17:2, pages 203-218.
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Aqilah Aljuaidan, Mamdouh Elbrolosy & Adel Elmandouh. (2023) Nonlinear Wave Propagation for a Strain Wave Equation of a Flexible Rod with Finite Deformation. Symmetry 15:3, pages 650.
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Muslum Ozisik, Aydin Secer & Mustafa Bayram. (2023) (3+1)-dimensional Sasa–Satsuma equation under the effect of group velocity dispersion, self-frequency shift and self-steepening. Optik 275, pages 170609.
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Aly R. Seadawy, Syed T. R. Rizvi, Sana Shabbir & Saria Khizar. (2022) Study of localized waves for couple of the nonlinear Schrödinger dynamical equations. International Journal of Modern Physics B 37:05.
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Syed T. R. Rizvi, Aly R. Seadawy, Tahira Batool & Kashif Ali. (2022) Several new analytical solutions for Davydov solitons in α-helix proteins. International Journal of Modern Physics B 36:30.
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Aly R. Seadawy, Syed T. R. Rizvi, Sarfaraz Ahmed & Ashfaq Ahmad. (2022) Study of dissipative NLSE for dark and bright, multiwave, breather and M-shaped solitons along with some interactions in monochromatic waves. Optical and Quantum Electronics 54:12.
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Bahadır Kopçasız & Emrullah Yaşar. (2022) The investigation of unique optical soliton solutions for dual-mode nonlinear Schrödinger’s equation with new mechanisms. Journal of Optics.
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Muhammad S. Iqbal, Aly R. Seadawy, Muhammad Z. Baber & Muhammad Qasim. (2022) Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions. Chaos, Solitons & Fractals 164, pages 112600.
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Aly R. Seadawy, Syed T. R. Rizvi, Sarfaraz Ahmed & Abdul Khaliq. (2022) Pure-cubic nonlinear Schrödinger model with optical multi peak, homoclinic breathers, periodic-cross-kink and M-shaped solitons. Optical and Quantum Electronics 54:11.
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Kalim U. Tariq, Aly R. Seadawy, Syed T. R. Rizvi & Rizwan Javed. (2022) Some optical soliton solutions to the generalized (1 + 1)-dimensional perturbed nonlinear Schrödinger equation using two analytical approaches. International Journal of Modern Physics B 36:26.
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Dulal Chandra Nandi, Mohammad Safi Ullah, Harun-Or- Roshid & M. Zulfikar Ali. (2022) Application of the unified method to solve the ion sound and Langmuir waves model. Heliyon 8:10, pages e10924.
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Aly R. Seadawy, Syed T.R. Rizvi, Muhammad Sohail & Kashif Ali. (2022) Nonlinear model under anomalous dispersion regime: Chirped periodic and solitary waves. Chaos, Solitons & Fractals 163, pages 112558.
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Azhar Bashir, Aly R. Seadawy, Sarfaraz Ahmed & Syed T.R. Rizvi. (2022) The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation. Chaos, Solitons & Fractals 163, pages 112538.
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S.M. Rayhanul Islam, Shahansha Khan, S.M. Yiasir Arafat & M. Ali Akbar. (2022) Diverse analytical wave solutions of plasma physics and water wave equations. Results in Physics 40, pages 105834.
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Aly R. Seadawy, Syed T.R. Rizvi, Urooj Akram & S. Kamran Naqvi. (2022) Optical and analytical soliton solutions to higher order non-Kerr nonlinear Schrödinger dynamical model. Journal of Geometry and Physics 179, pages 104616.
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Syed T. R. Rizvi, Aly R. Seadawy, Bazgha Mustafa, Kashif Ali & Romana Ashraf. (2022) Propagation of chirped periodic and solitary waves for the coupled nonlinear Schrödinger equation in two core optical fibers with parabolic law with weak non-local nonlinearity. Optical and Quantum Electronics 54:9.
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Kalim U. Tariq & Rizwan Javed. (2022) Some traveling wave solutions to the generalized (3 + 1)‐dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation in plasma physics. Mathematical Methods in the Applied Sciences.
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Aly R. Seadawy, Safdar Ali & Syed T.R. Rizvi. (2022) On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation. Chaos, Solitons & Fractals 161, pages 112374.
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Aly R. Seadawy, Sarfaraz Ahmed, Syed T.R. Rizvi & Kashif Ali. (2022) Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system. Chaos, Solitons & Fractals 161, pages 112307.
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Dexu Zhao, Dianchen Lu, Samir A Salama, Piyaphong Yongphet & Mostafa MA Khater. (2022) Novel and accurate solitary wave solutions of the conformable fractional nonlinear Schrödinger equation. Journal of Low Frequency Noise, Vibration and Active Control 41:2, pages 488-499.
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Amjid Ali, Teruya Minamoto, Rasool Shah & Kamsing Nonlaopon. (2022) A novel numerical method for solution of fractional partial differential equations involving the $ \psi $-Caputo fractional derivative. AIMS Mathematics 8:1, pages 2137-2153.
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M E Elbrolosy. (2021) Qualitative analysis and new soliton solutions for the coupled nonlinear Schrödinger type equations. Physica Scripta 96:12, pages 125275.
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A. Safaei Bezgabadi & M.A. Bolorizadeh. (2021) Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method. Results in Physics 30, pages 104852.
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M. E. Elbrolosy & A. A. Elmandouh. (2021) Dynamical behaviour of nondissipative double dispersive microstrain wave in the microstructured solids. The European Physical Journal Plus 136:9.
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Şeyma TÜLÜCE DEMİRAY & Uğur BAYRAKCI. (2021) Soliton Solutions of Generalized Third-Order Nonlinear Schrödinger Equation by Using GKMSoliton Solutions of Generalized Third-Order Nonlinear Schrödinger Equation by Using GKM. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 11:2, pages 1481-1488.
Crossref
Esra Ünal Yılmaz & Yeşim Sağlam Özkan. (2021) Optical soliton solutions to eight order nonlinear Schrödinger equation using some different methods. Optical and Quantum Electronics 53:5.
Crossref

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